Signatures of two- and three-dimensional semimetals from circular dichroism

Abstract

Topological invariants are crucial quantities for classifying materials with topological phases. Hence, their connections with experimentally measurable quantities are extremely important. In this context, circular dichroism (CD) provides a protocol to detect the Chern number ${\mathcal{C}}_0$ of the lowest energy Bloch band (LBB) of a semimetal. This hinges on the unequal depletion rates of the Bloch electrons from a filled LBB, under the action of a time-periodic circular drive, depending on the chirality of the polarization. According to the dimensionality of the system (i.e., whether it is two- or three-dimensional), the integrated differential rate for depletion has to be formulated a bit differently in order to relate it to ${\mathcal{C}}_0$. Our aim is to capture the nature of the CD response for semimetals with anisotropic band dispersions. We show that while the quantization of the CD response for the three-dimensional cases is strongly sensitive to anisotropy, the two-dimensional counterparts show a perfectly quantized response.

arXiv commentjournal version

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• Thermoelectric response in nodal-point semimetals
• Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain
• Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
• Topological Circular Dichroism in Chiral Multifold Semimetals
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
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• Linear response of tilted anisotropic two-dimensional Dirac cones
• Disentangling contributions to longitudinal magnetoconductivity for Kramers-Weyl nodes
• Orbital optical activity in noncentrosymmetric metals and superconductors